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Finding the Fourth Proportional to 6,811.74, 10,217.40 and 1,881.68

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Solution

The fourth proportional to 6,811.74, 10,217.40 and 1,881.68 is: 2,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.74 : 10,217.40 = 1,881.68 : x
  2. Step 2: Convert to fraction form
    6,811.74/10,217.40 = 1,881.68/x
  3. Step 3: Cross multiply
    6,811.74x = 10,217.40 × 1,881.68
  4. Step 4: Simplify right side
    6,811.74x = 19,225,877.23
  5. Step 5: Solve for x
    x = 19,225,877.23/6,811.74
  6. Step 6: Final answer
    x = 2,822.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.